The Structure of Multigranular Rough Sets
: Järvinen J, Radeleczki S
Publisher: IOS PRESS
: 2020
Fundamenta Informaticae
: FUNDAMENTA INFORMATICAE
: FUND INFORM
: 176
: 1
: 17
: 41
: 25
: 0169-2968
DOI: https://doi.org/10.3233/FI-2020-1961
: https://arxiv.org/abs/2002.05238
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called "optimistic" and "pessimistic" multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these approximation pairs.
atomistic Boolean lattice, coherence, Completely distributive lattice, Dedekind-MacNeille completion, definable set, Equivalence relation, irredundant covering, multigranular approximation, rough set, tolerance relation